There is a simple algebraic equation for the number of months to break even on SS. I'll use an example to illustrate. Let's say a guy can collect $1,000 at 62 or wait until full retirement age (FRA) at 67 years, (That's my FRA. Your amounts and FRA are available on your personal SS statement). Using 8% as the annual increase (my statement shows closer to 6.5% annual increase) would yield a $1,469 payment at FRA of 67.
The equation for break even would be 1000x = 1469(x-60)
x=the number of months to break even and 60 is the number of months you deferred compensation (67y minus 62y).
Solving for x yields the answer of 188.29 which is the number of months to break even. There are free algebraic calculators online that will solve your equation.
Divide 188 by 12 to get the number of years which is 15.67 years or 15y 8m.
Add 15y, 8m. to the starting age of 62 means you will break even when you are 77y, 8m old.
To proof this we can take the 1st payment amount of $1000 and multiply by 188 (from 62y to 77y, 8m) = 188*1000=$188,000 received at age 77y, 8m.
Then take the 2nd payment amount of $1469 and multiply by 128 mo (from 67y to 77y 8m) = 128*1469=$188,032 received at age 77y, 8m.
This is not the entire answer, just the math part. To make your decision you should look at your other income which can affect your need for this income, savings, expected lifespan, and confidence in the system among other things. In my case I took it at 62 because:
1) For the last 20 years, all of my income has been capital gains, interest income and rental income, which is not subject to the 15.3% fica (SS) tax levied on the self-employed. Because I didn't pay in for that period, my SS amount is on the smaller end, making future increases less meaningful.
2) I don't need this income for retirement which also makes future raises less meaningful. The most common reason for early withdrawal is the need for current income).
3) My father passed at age 47. His father passed at 50. Two of dad's brothers passed at 49 and 50. Longevity is not a family characteristic.
4) I have little to no confidence in the system which you can read as a vote of zero confidence in our government. I honestly thought that SS would reach it's demise before I aged into the system. For me, this is all gravy.
Coincidentally, I had a 40 minute conversation with my buddy in Idaho this morning covering much of this ground. He is retiring next June 1st. I can tell you that everyone's situation is unique, making their decision unique to them. You owe it to yourself to spend enough time and analysis to understand your options and make your best decisions.